The table below shows the daily expenditure on food of 25 households in a locality.

Daily expenditure (in Rs):

100-150

150-200

200-250

250-300

300-350

Number of households:

4

5

12

2

2

Question

The table below shows the daily expenditure on food of 25 households in a locality. Daily expenditure (in Rs): 100-150 150-200 200-250 250-300 300-350 Number of households: 4 5 12 2 2

Philoid · Accepted Answer

We may calculate class marks (x_i) for each interval by using the relation

x_i =

Class size = 50

Now taking 225 as assumed mean we can calculate as follows:

Daily expenditure (In Rs)	f_i	d_i = x_i – A = x_i - 225	u_i =	x_i	f_iu_i
100-150	4	-100	-2	125	-8
150-200	5	-50	-1	175	-5
200-250	12	0	0	225	0
250-300	2	50	1	275	2
300-350	2	100	2	325	4
	N = 25				∑f_iu_i = -7

Mean (x̅) = A + * h

= 225 + * 50

= 225 – 14 = 211

So mean expenditure on food is 211

Daily expenditure (in Rs):	100-150	150-200	200-250	250-300	300-350
Number of households:	4	5	12	2	2

The table below shows the daily expenditure on food of 25 households in a locality.Daily expenditure (in Rs):100-150150-200200-250250-300300-350Number of households:451222

The table below shows the daily expenditure on food of 25 households in a locality.

Daily expenditure (in Rs):

100-150

150-200

200-250

250-300

300-350

Number of households:

4

5

12

2

2